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This page gives the 3D models I've created for various purposes such as teaching volumes of revolution in calculus 1. Picture of some of my 3D models
A4: Below sin(x) rotated around the x-axis

Top function: y=sin(x)
Bottom Function: x-axis
Domain: [0,pi]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
C3: Between y=x and y=x^2 rotated around the x-axis

Top function: y=x
Bottom Function: y=x^2
Domain: Bounded Region
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A3: Below y=10/x^2 rotated around y=10

Top function: y=10/x^2
Bottom Function: x-axis
Domain: [1,5]
Rotated Around: y=10
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A1: Below y=(x+1)^2 rotated around the x-axis

Top function: y=(x+1)^2
Bottom Function: x-axis
Domain: [0,2]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A2: Below y=4-x^2 rotated around the x-axis

Top function: y=4-x^2
Bottom Function: x-axis
Domain: [0,2]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D3: Below y=4x^2-4x^3 rotated around the y-axis

Top function: y=4x^2-4x^3
Bottom Function: x-axis
Domain: [0,1]
Rotated Around: y-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A5: Below y=sqrt(x) rotated around the x-axis

Top function: y=sqrt(x)
Bottom Function: x-axis
Domain: [0,4]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D2: Below y=sqrt(x) rotated around the y-axis

Top function: y=sqrt(x)
Bottom Function: x-axis
Domain: [0,4]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
C1: Between y=4x-x^2 and y=x^2 rotated around x=4

Top function: y=4x-x^2
Bottom Function: y=x^2
Domain: Enclosed Region
Rotated Around: x=4
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
C2: Between y=5/x+3 and y=x-1 rotated around the x-axis

Top function: y=5/x+3
Bottom Function: y=x-1
Domain: [0,?]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
B3: Between y=x^3 and y=x^2 rotated around the x-axis

Top function: y=x^3/16
Bottom Function: y=x^2/16
Domain: [1,4]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
C4: Between y=sqrt(x) and y=x^2 rotated around the x-axis

Top function: y=sqrt(x)
Bottom Function: y=x^2
Domain: Enclosed Region
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A7: Between y=sqrt(x)+1 and the x-axis rotated around the line y=2

Top function: y=sqrt(x)+1
Bottom Function: x-axis
Domain: [0,1]
Rotated Around: y=2
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D5: Between y=x^3+x+1 and y=1 rotated around the line x=2

Top function: y=x^3+x+1
Bottom Function: y=1
Domain: [0,1]
Rotated Around: x=2
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D6: Between y=x^3+x+1 and y=0 rotated around the line x=2

Top function: y=x^3+x+1
Bottom Function: y=0
Domain: [0,1]
Rotated Around: x=2
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A6: Between y=x+1 and the x-axis rotated around the x-axis

Top function: y=x+1
Bottom Function: x-axis
Domain: [0,2]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D4: Between y=2x and y=x rotated around the y-axis

Top function: y=2x
Bottom Function: y=x
Domain: [0,1]
Rotated Around: y-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
C5: Below y=sqrt(x) and the x-axis rotated around the x-axis

Top function: y=sqrt(x)
Bottom Function: x-axis
Domain: [0,1]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
C6: Between y=8-2x and y=x^2 rotated around the x-axis

Top function: y=8-2x
Bottom Function: y=x^2
Domain: [0,2]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D7: Enclosed between x=0, y=0, y=2, and y=sqrt(x-2) rotated around the x-axis

Top function: y=2
Bottom Function: y=sqrt(x-2)
Domain: [0,6]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
B4: Below y=sin(x) rotated around the y-axis.

Top function: y=sin(x)
Bottom Function: x-axis
Domain: [2pi,3pi]
Rotated Around: y-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A9: Between y=9-x^2 and y=-1, rotated around y=-1

Top function: y=9-x^2
Bottom Function: y=-1
Domain: [1,1.5]
Rotated Around: y=-1
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
B5: Between y=-(x-1)^2+1 and y=0, rotated around y=-1

Top function: y=-(x-1)^2+1
Bottom Function: y=0
Domain: [0,2]
Rotated Around: y=-1
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
B2: Between y=x^3 and y=x^2, rotated around the y-axis

Top function: y=x^3
Bottom Function: y=x^3
Domain: [1,3]
Rotated Around: y-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
A8: Below y=sin(x) rotated around the x-axis

Top function: y=sin(x)
Bottom Function: x-axis
Domain: [0,pi/2]
Rotated Around: x-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
D8: Below y=x^2 rotated around the y-axis

Top function: y=x^2
Bottom Function: x-axis
Domain: [0,3]
Rotated Around: y-axis
STL Download
Picture of the region in 2 dimensions Picture of the region in 3 dimensions
(The image is a link to a 3D viewer)
If you find a mistake or broken code, please please please tell me! (this page and is automatically generated by PHP, javascript, and html code I wrote; I can't verify every scenario). Especially if you use Firefox, Safari, Internet Explorer, or a tablet - I only test this page on Chrome on a desktop. Also, I should note that I've used code from Viewstl.com and Three JS for displaying the 3D models. All the STLs were created on either Maple or MATLAB, possibly with help from Fusion 360, Meshmixer, and/or TinkerCAD - all my STL files here are released to the public domain. The 2D graphs were created in Graph 4.4.2.
Last updated: 03/02/21